The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  X  0  0  1  1  X  X  0  1  1  1  1  1  1  0  1  0  0  X  X  1  1  X  1  1  X  1  1  1
 0  1  0  0  1  1  1  0  X X+1  1  1  X  1  1 X+1  1  1  X  1  0 X+1  0  X X+1  1 X+1  1  1  1  1  1 X+1  1  1  0  1  X  0  0
 0  0  1  1  1  0  1  X  1  0 X+1 X+1  1  0 X+1  X X+1  0  1  X  0  X  0  1 X+1 X+1 X+1  0  0  X X+1 X+1 X+1 X+1  1  1 X+1  1  X  1
 0  0  0  X  0  0  0  0  0  0  X  X  X  X  X  X  0  X  0  0  X  X  0  X  X  0  0  X  X  X  X  X  0  X  X  X  0  0  X  X
 0  0  0  0  X  0  0  X  0  X  0  0  X  0  X  0  X  X  X  X  0  0  X  0  X  X  0  0  0  X  X  0  X  0  X  X  X  X  X  0
 0  0  0  0  0  X  0  0  0  X  0  0  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  X  0  X  X  X  0  X  0  0  0  X  0  X
 0  0  0  0  0  0  X  X  0  X  0  X  0  X  X  X  X  0  0  0  X  0  0  X  X  X  X  0  0  0  X  0  X  X  X  0  0  X  X  0

generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+102x^34+195x^36+185x^38+162x^40+131x^42+90x^44+76x^46+61x^48+14x^50+3x^52+3x^54+1x^58

The gray image is a linear code over GF(2) with n=80, k=10 and d=34.
This code was found by Heurico 1.16 in 0.098 seconds.